論文

プレプリント

1. (with Neal Bez, Anthony Gauvan)

Regularity of the capacity in operator scaling, Aug 2025 (arXiv)

2. (with Shohei Nakamura) 

The Gaussian correlation inequality for centered convex sets and the case of equality, Apr 2025 (arXiv)

3. (with Shohei Nakamura)

A generalized Legendre duality relation and Gaussian saturation, Sep 2024 (arXiv)

4. (with Shohei Nakamura)

The functional volume product under heat flow, J. Eur. Math. Soc, to appear (arXiv) 

5. (with Shohei Nakamura) 

Hypercontractivity beyond Nelson's time and its applications to Blaschke--Santaló inequality and inverse Santaló inequality, Amer. J. Math., to appear (arXiv)

論文（出版済）

1. (with Dario Cordero-Erausquin, Nathael Gozlan, Shohei Nakamura)

Duality and Heat flow,  Adv. Math., 467 (2025), Paper No. 110161, 11 pp  (link)

2. (with Neal Bez, Anthony Gauvan) 

A note on ubiquity of geometric Brascamp-Lieb data, Bull. Lond. Math. Soc. 57 (2025), no 1, 302--324 (link) 

3. Analytic aspects of the dilation inequality for symmetric convex sets in Euclidean spaces , Electron. J. Probab (2024), Vol. 29, paper no. 64, 1--31 (link)

4. (with Neal Bez, Shohei Nakamura)

Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality, J. Funct. Anal. 285 (2023), no. 10, Paper No. 110121 (link)

5. Symmetrized Talagrand inequalities on Euclidean spaces, Kyushu J. Math. 76 (2022), no. 1, 119--142 (link)

6. Dilation type inequalities for strongly-convex sets in weighted Riemannian manifolds, Anal. Geom. Metr. Spaces 9 (2021), no. 1, 219--253 (link)